GCD of 474, 730, 474, 680 Calculator

Given Input numbers are 474, 730, 474, 680

In the factoring method, we have to find the divisors of all numbers

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

GCD of numbers is the greatest common divisor

So, the GCD (474, 730, 474, 680) = 2.

Given numbers are 474, 730, 474, 680

The list of prime factors of all numbers are

Prime factors of 474 are 2 x 3 x 79

Prime factors of 730 are 2 x 5 x 73

Prime factors of 474 are 2 x 3 x 79

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 474, 730, 474, 680 is 2.

Given numbers are 474, 730, 474, 680

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(474, 730) = 173010

GCD(474, 730) = ( 474 x 730 ) / 173010

= 474 / 730

= 474

Step2:

LCM(2, 474) = 474

GCD(2, 474) = ( 2 x 474 ) / 474

= 2 / 474

= 2

Step3:

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

= 2 / 680

= 2

So, Greatest Common Divisor of 474, 730, 474, 680 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 468, 994, 554, 180
• GCD of 186, 994, 880, 487
• GCD of 440, 396, 809, 412
• GCD of 314, 141, 656, 989
• GCD of 439, 219, 299, 320

Given numbers are 474, 730, 474, 680
The greatest common divisor of numbers 474, 730, 474, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 730, 474, 680 is 2.

1. What is the GCD of 474, 730, 474, 680?

GCD of given numbers 474, 730, 474, 680 is 2

2. How to calculate the greatest common divisor of 474, 730, 474, 680?

We can find the highest common divisor of 474, 730, 474, 680 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 474, 730, 474, 680 i.e 2.

3. How can I use the GCD of 474, 730, 474, 680Calculator?

Out the numbers 474, 730, 474, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.